An action for reaction in general dimension

M. Abraham, “Theorie der Elektrizität”, vol. II, Springer, Leipzig (1905)

1905

Earlier work this paper cites.

P. A. M. Dirac, “Classical theory of radiating electrons,” Proc. Roy. Soc. Lond. A 167

1938

Earlier work this paper cites.

N. L. Balazs, “Wave Propagation in Even and Odd Dimensional Spaces,” Proc. Phys. Soc. A 68

1955

Earlier work this paper cites.

J. S. Schwinger, “Brownian motion of a quantum oscillator,” J. Math. Phys. 2

1965

Earlier work this paper cites.

Abramowitz, M., and Stegun, I. (1972). Handbook of mathematical functions with formulas, graphs, and mathematical tables . Dover Publications, Mineola, New York

Original

1972

Earlier work this paper cites.

D. Hestenes and G. Sobczyk, Clifford Algebra to Geometric Calculus: A Unified Language for Mathematics and Physics (D. Reidel Publishing Company, Dordrecht, 1984)

1984

Earlier work this paper cites.

M. A. Rubin and C. R. Ordonez, “Eigenvalues and degeneracies for n-dimensional tensor spherical harmonics,” J. Math. Phys. 25

1985

Earlier work this paper cites.

J. Applequist, “Traceless cartesian tensor forms for spherical harmonic functions: new theorems and applications to electrostatics of dielectric media,” J. Phys. A: Math. Gen. 22

1989

Earlier work this paper cites.

L. Blanchet and T. Damour, “Postnewtonian Generation Of Gravitational Waves,” Annales Poincare Phys. Theor. 50

1989

Earlier work this paper cites.

D. Hestenes, New Foundations for Classical Mechanics (Kluwer Academic Publishers, Dordrecht, 1990)

1990

Earlier work this paper cites.

T. Damour and B. R. Iyer, “Multipole analysis for electromagnetism and linearized gravity with irreducible cartesian tensors,” Phys. Rev. D 43

1991

Earlier work this paper cites.

H. Kalf, “On the expansion of a function in terms of spherical harmonics in arbitrary dimensions,” Bulletin of the Belgian Mathematical Society - Simon Stevin 2.4

1995

Earlier work this paper cites.

E. S. C. Ching, P. T. Leung, W. M. Suen and K. Young, “Wave propagation in gravitational systems: Late time behavior,” Phys. Rev. D 52

1995

Earlier work this paper cites.

J. D. Jackson, Classical Electrodynamics, Third Edition (Wiley, New York, 1998)

1998

Earlier work this paper cites.

B. P. Kosyakov, “Exact solutions of classical electrodynamics and the Yang-Mills-Wong theory in even-dimensional space-time,” Theor. Math. Phys. 119

1999

Earlier work this paper cites.

W. E. Baylis, Electrodynamics, A Modern Geometric Approach (Birkhäuser, Boston, 1999)

1999

Earlier work this paper cites.

D. V. Gal’tsov, “Radiation reaction in various dimensions,” Phys. Rev. D 66

2002

Cited alongside, same era.

P. O. Kazinski, S. L. Lyakhovich and A. A. Sharapov, “Radiation reaction and renormalization in classical electrodynamics of point particle in any dimension,” Phys. Rev. D 66

2002

Cited alongside, same era.

A. Higuchi, “Symmetric Tensor Spherical Harmonics on the N N Sphere and Their Application to the De Sitter Group SO( N N ,1),” J. Math. Phys. 28

2002

Cited alongside, same era.

S. L. Detweiler and B. F. Whiting, “Selfforce via a Green’s function decomposition,” Phys. Rev. D 67

2003

Cited alongside, same era.

C. Doran and A. Lasenby, Geometric Algebra for Physicists (Cambridge University Press, 2003)

2003

Cited alongside, same era.

A. Mironov and A. Morozov, “Radiation beyond four space-time dimensions,” Theor. Math. Phys. 156

2008

Later among the works it cites.

A. Mironov and A. Morozov, “On the problem of radiation friction beyond 4 and 6 dimensions,” Int. J. Mod. Phys. A 23

Original

2008

Later among the works it cites.

C. R. Galley and M. Tiglio, “Radiation reaction and gravitational waves in the effective field theory approach,” Phys. Rev. D 79

Original

2009

Later among the works it cites.

W. D. Goldberger, A. Ross, “Gravitational radiative corrections from effective field theory,” Phys. Rev. D81

Original

2010

Later among the works it cites.

D. R. Rowland, “On the value of geometric algebra for spacetime analyses using an investigation of the form of the self-force on an accelerating charged particle as a case study,” Am. J. Phys 78, 187-194 (2010)